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Finding the Fourth Proportional to 41.17, 61.51 and 33.07

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Solution

The fourth proportional to 41.17, 61.51 and 33.07 is: 49.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.17 : 61.51 = 33.07 : x
  2. Step 2: Convert to fraction form
    41.17/61.51 = 33.07/x
  3. Step 3: Cross multiply
    41.17x = 61.51 × 33.07
  4. Step 4: Simplify right side
    41.17x = 2,034.14
  5. Step 5: Solve for x
    x = 2,034.14/41.17
  6. Step 6: Final answer
    x = 49.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.